Sean is training for a race. The equation f(x) = 5(x + 1) + 2x represents the number of miles Sean runs during any given training
week (3)
What is f(3)?

Answer:

Step-by-step explanation:

1. make common denominators

13/16-12/16

1/16

Answer:

x = 6

Step-by-step explanation:

Step 1:

3x + 112 = 5x + 100         Vertical Angles

Step 2:

112 = 2x + 100         Subtract 3x on both sides

Step 3:

12 = 2x          Subtract 100 on both sides

Step 4:

x = 12 ÷ 2        Divide

Answer:

x = 6

Hope This Helps :)

Answer:

6 is answer

Step-by-step explanation:

5x+100=3x+112

so 2x=12

x=6

Answer:

Jackie

Step-by-step explanation:

Perry: 85/5 = $17 per ticket

Jackie: 135/9 = $15 per ticket

Answer:

Jackie

Step-by-step explanation:

Divide 135 by 9, and divide 85 by 5, you can see that one ticket for perry cost $17, while one ticket for jackie cost $15

Sum of first n terms of an AP – Sn = 3 + 4n²

the 3rd, the 10th andthe nth terms.

Substitute the value of n as 1 to find the first term of the given AP.

(Sum of first 1 terms is nothing but the first term).

Hence,

⟹ S₁ = a = 3 + (4)(1)²

⟹ a = 3 + 4

⟹ a = 7

Now,

Substitute the value of n as 2 to find the sum of first 2 terms.

⟹ S₂ = a + a₂ = 3 + 4(2)²

⟹ a + a₂ = 3 + 16

Substitute the value of a here.

⟹ 7 + a₂ = 19

⟹ a₂ = 19 - 7

⟹ a₂ = 12

We know,

nth term of an AP – an = a + (n - 1)d

So,

a₂ = a + (2 - 1)d = a₂ = a + d.

Subtract a from a₂.

⟹ a + d - a = 12 - 7

⟹ d = 5

Now,

nth term = an = 12 + (n - 1)(5)

⟹ an = 12 + 5n - 5

⟹ an = 5n + 7

Substitute n as 3 & 10 , to find the 3rd & 10th terms.

★ a₃ = 5(3) + 7

⟹ a₃ = 8 + 7

⟹ a₃ = 15

★ a₁₀ = 5(10) + 7

⟹ a₁₀ = 50 + 7

⟹ a₁₀ = 57

Therefore,

Third term is 15

Tenth term is 57

nth term is 5n + 7.

I hope it will help you.

Regards.

Step-by-step explanation:

please see the attachment

Answer:

Step-by-step explanation:

Given

cost of  2.5 pounds of cheese is $5.60.

To get the cost of one pound, we will use the equality postulate:

2.5 pounds = $5.60

1 pound = $x

cross multiply;

2.5x = 5.60

x = 5.60/2.5

x = $2.24

Hence one pound of cheese will cost $2.24

b) If Mrs. Peterson bought 4.75 pounds of cheese, to get the amount she paid, we will say:

1 pound = $2.24

4.75pounds = y

cross multiply

1*y = 2.24 * 4.75

y = $10.64

Hence the cost of 4.75pounds is $10.64

c) To find the cost of 5 pounds, we can use the fact that 2.5 pounds of cheese cost $5.60;

hence 2.5 pounds = $5.60

5 pounds  z

cross multiply

2.5z = 5*5.60

z = 5*5.60/2.5

z = 2*5.60

z = $11.2

Hence the cost of 5 pounds of cheese is $11.2

Answer:

-0.2 or -1/5

Step-by-step explanation:

divide both sides by factors that dont contain the variable (x)

Step-by-step explanation:

180 × 0.4 (40/100)

= 72

40 percent of 180 is 72

180 - 72 = 108

108 is the sale price

108 × 0.05 (5/100)

= 5.4 dollars is the tax

108 - 5.4 = 102.6 dollars

Answer:

113.40

Step-by-step explanation:

$180-40% off then u get 108.00 then we add the 5% sales tax and get $113.50 thats  your answer hope it help's.

Answer:

x = 10

Step-by-step explanation:

Answer:

16^13

Step-by-step explanation:

4 times four =16

5 +8=13

Answer:

80

Step-by-step explanation:

Answer:

Here is the fruit pie....chart lol

Step-by-step explanation:

Hope this helps and have a great day!

Answer:

The answer is F(x) = x

Answer:

the answer is A F(x) = x

Step-by-step explanation:

happy to help!!

Answer:

The last one

Step-by-step explanation:

Had a question similar to that

Answer:

C. (9, -9)

Step-by-step explanation:

From Linear Algebra, we understand translations as the following vector sum:

[tex]P'(x,y) = P(x,y) +U(x, y)[/tex] (Eq. 1)

Where:

[tex]P(x,y)[/tex] - Original vector with respect to origin, dimensionless.

[tex]U(x,y)[/tex] - Translation vector, dimensionless.

[tex]P'(x,y)[/tex] - Translated vector with respect to origin, dimensionless.

If we know that [tex]P(x,y) = (2,3)[/tex] and [tex]P'(x,y) =(5,-4)[/tex], then the translation vector is:

[tex]U(x,y) = P'(x,y)-P(x,y)[/tex]

[tex]U(x,y) = (5,-4)-(2,3)[/tex]

[tex]U(x,y) =(5-2,-4-3)[/tex]

[tex]U(x,y) =(3,-7)[/tex]

Now, if we assume that [tex]P(x,y) = (6,-2)[/tex], then the translated vector is:

[tex]P'(x,y) =(6,-2) +(3,-7)[/tex]

[tex]P'(x,y) =(9,-9)[/tex]

Hence, the correct answer is C.

Answer: (9, −9)c

Step-by-step explanation:

Answer:

the speed eiether increces or decreces depending on if the number of hours go up or down.

Answer:

-1

Step-by-step explanation:

3+2(-2)

3+(-4)

=-1

Answer:

Exact form: w = 3/2

Decimal form: w = 1.5

Mixed-number form: w = 1 1/2

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

22 times W is 22w

22 time 2 is 44

22w+44=77 subtract 77 and 44 gets you 33

22w=33 divide 33 and 22 gets you

w=1.5

Answer:

hello your question is incomplete attached below is the complete question

Answer : A) [tex]P_{x} (x) = P ( X = x )\\= (\frac{1}{6})(\frac{5}{6})^{x-1}[/tex]

               B) attached below

               C) P ( x = 1,3,5,7,----) = 6/11

               D) F(x) = 1 - (5/6)^x

Step-by-step explanation:

A) probability of 6 appearing = 1/6

   probability of 6 not appearing = 5/6

number of times a die is thrown = X

Hence PMF ( probability of mass function )

[tex]P_{x} (x) = P ( X = x )\\= (\frac{1}{6})(\frac{5}{6})^{x-1}[/tex]

where number of failures = x-1 , number of trials ( number of times a die is thrown ) = x

B) show that attached below

C) determine : P(X= 1,3,5,7..)  ( attached  below )

therefore P ( x = 1,3,5,7,----) = 6/11

d) find the CDF of F(x) = P( X ≤ x )

F(x) = 1 - (5/6)^x

Answer:

3

Step-by-step explanation:

========================================

Work Shown:

The mixed number 1 & 1/2 converts to

1 & 1/2 = 1 + 1/2 = 1 + 0.5 = 1.5

Then we multiply it with 2 getting

(1 & 1/2) times 2 = 1.5 times 2 = 3

-------------------

Another way you could do it

1 & 1/2 = 1 + 1/2 = 2/2 + 1/2 = 3/2

(1 & 1/2) times 2 = (3/2) times 2 = (3/2) * (2/1) = 6/2 = 3

Answer:

A Leticia le falta siete doceavos de las páginas del libro por leer.

Step-by-step explanation:

Constatamos que la proporción de páginas por leer es igual a la totalidad de páginas menos las proporciones leídas durante los tres días:

[tex]r = 1 -r_{1}-r_{2}-r_{3}[/tex] (Eq. 1)

Donde:

[tex]r_{1}[/tex] - Proporción leída en el primer día, adimensional.

[tex]r_{2}[/tex] - Proporción leída en el segundo día, adimensional.

[tex]r_{3}[/tex] - Proporción leída en el tercer día, adimensional.

Si sabemos que [tex]r_{1} = \frac{1}{3}[/tex], [tex]r_{2} = \frac{2}{8}[/tex] y [tex]r_{3} = \frac{3}{9}[/tex], entonces la proporción de páginas por leer es:

[tex]r = 1-\frac{1}{3}-\frac{2}{8}-\frac{3}{9}[/tex]

[tex]r = 1-\frac{1}{3}-\frac{1}{4}-\frac{1}{3}[/tex]

[tex]r = 1-\frac{2}{3}-\frac{1}{4}[/tex]

[tex]r = 1-\frac{8-3}{12}[/tex]

[tex]r = 1-\frac{5}{12}[/tex]

[tex]r = \frac{7}{12}[/tex]

A Leticia le falta siete doceavos de las páginas del libro por leer.

Answer:

-300

Step-by-step explanation:

0-300=-300

Answer:

7

Step-by-step explanation:

Slope is always before x. So the slope is 7/1 or 7

Answer: The slope is 7.

Step-by-step explanation: If you see 7 (x), x is the slope so the answer is 7.

Answer:

Number of total student stay = 96

Step-by-step explanation:

Given:

Total number of student = 800

Student stay = 12%

Find:

Number of total student stay

Computation:

Number of total student stay = Total number of student x Student stay

Number of total student stay = 800 x 12%

Number of total student stay = 96

Answer:

21.4285714 miles

Step-by-step explanation:

Answer: 21.4285714 miles. There you go!